US10602993B2 - Image reconstruction for Z-flying focal spot tomography - Google Patents
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B6/00—Apparatus or devices for radiation diagnosis; Apparatus or devices for radiation diagnosis combined with radiation therapy equipment
- A61B6/02—Arrangements for diagnosis sequentially in different planes; Stereoscopic radiation diagnosis
- A61B6/03—Computed tomography [CT]
- A61B6/032—Transmission computed tomography [CT]
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B6/00—Apparatus or devices for radiation diagnosis; Apparatus or devices for radiation diagnosis combined with radiation therapy equipment
- A61B6/40—Arrangements for generating radiation specially adapted for radiation diagnosis
- A61B6/4021—Arrangements for generating radiation specially adapted for radiation diagnosis involving movement of the focal spot
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B6/00—Apparatus or devices for radiation diagnosis; Apparatus or devices for radiation diagnosis combined with radiation therapy equipment
- A61B6/52—Devices using data or image processing specially adapted for radiation diagnosis
- A61B6/5205—Devices using data or image processing specially adapted for radiation diagnosis involving processing of raw data to produce diagnostic data
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/003—Reconstruction from projections, e.g. tomography
- G06T11/006—Inverse problem, transformation from projection-space into object-space, e.g. transform methods, back-projection, algebraic methods
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- H—ELECTRICITY
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- H01J—ELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
- H01J35/00—X-ray tubes
- H01J35/02—Details
- H01J35/14—Arrangements for concentrating, focusing, or directing the cathode ray
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01J—ELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
- H01J35/00—X-ray tubes
- H01J35/24—Tubes wherein the point of impact of the cathode ray on the anode or anticathode is movable relative to the surface thereof
- H01J35/30—Tubes wherein the point of impact of the cathode ray on the anode or anticathode is movable relative to the surface thereof by deflection of the cathode ray
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- A—HUMAN NECESSITIES
- A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
- A61B6/00—Apparatus or devices for radiation diagnosis; Apparatus or devices for radiation diagnosis combined with radiation therapy equipment
- A61B6/52—Devices using data or image processing specially adapted for radiation diagnosis
- A61B6/5258—Devices using data or image processing specially adapted for radiation diagnosis involving detection or reduction of artifacts or noise
Definitions
- This disclosure relates generally to diagnostic imaging and, more particularly, to an apparatus and method of reducing artifacts for z-flying focal spot in computed tomography (CT) system.
- CT computed tomography
- a rotatable gantry typically includes an x-ray tube, detector, data acquisition system (DAS), and other components that rotate about a patient that is positioned at the approximate rotational center of the gantry.
- X-rays emit from the x-ray tube, are attenuated by the patient, and are received at the detector.
- the detector typically includes a photodiode-scintillator array of pixelated elements that convert the attenuated x-rays into photons within the scintillator, and then to electrical signals within the photodiode.
- the electrical signals are digitized and then received within the DAS, processed, and the processed signals are transmitted via a slipring (from the rotational side to the stationary side) to a computer or data processor for image reconstruction, where an image is formed.
- the gantry typically includes a pre-patient collimator that defines or shapes the x-ray beam emitted from the x-ray tube.
- X-rays passing through the patient can cause x-ray scatter to occur, which can cause image artifacts.
- x-ray detectors typically include an anti-scatter grid (ASG) for collimating x-rays received at the detector.
- Imaging data may be obtained using x-rays that are generated at a single polychromatic energy. However, some systems may obtain multi-energy images that provide additional information for generating images.
- Third generation multi-slices CT scanners typically include a detector assembly having scintillator/photodiodes arrays positioned in an arc, where the focal spot is the center of the corresponding circle.
- the material used in these detectors generally has scintillation crystal/photodiode arrays, where the scintillation crystal absorbs x-rays and converts the absorbed energy into visible light.
- a photodiode is used to convert the light to an electric current. The reading is typically proportional and linear to the total energy absorbed in the scintillator.
- the x-ray tube In X-ray computed tomography (CT) imaging systems, the x-ray tube generates high speed electrons from the filament. The electrons fly toward the positive target anode, in which the energy of the electrons is converted to X-rays. In conventional CT scanners, the X-ray emits from one focal spot on the anode plate. For multi-row scanners, to increase the resolution and reduce or remove under-sampling related image artifacts the so-called “Flying focal spot” (FFS), i.e. the focal spot is periodically moved among certain given positions, can be employed.
- the in-plane focal spot motion can increase resolution of transverse planes while the motion in the z-direction, referred to hereinafter as zFFS, which can increase axial resolution.
- a fundamental circular cone beam (CCB) scan protocol is used to present the disclosed method, but it is contemplated that the disclosure is applicable to helical scans, as well.
- X-ray Tomography is widely used in clinical disease diagnosis.
- the zFFS strategy has been proposed for several years and CT scanner venders have produced products to implement the focal spot wobbling idea.
- current image reconstruction methods for zFFS scanning treat detector readings from alternating two focal spots as interleaved sampling, i.e. group the two sets of data to one set by interleaving the rows of each consecutive (odd and even) reading pair to build one sinogram with double number of rows. Then, the combined data is used for image reconstruction by a regular single focal spot geometry, either using a native fan geometry, or by re-binning the data to a parallel geometry.
- This type of reconstruction method, using combined data has at least two drawbacks:
- the disclosure is directed toward an apparatus, method of fabricating, and method of using a zFFS strategy in computed tomography (CT)
- a computed tomography (CT) system includes a rotatable gantry having an opening to receive an object to be scanned, an x-ray tube having an anode, the x-ray tube positioned on the rotatable gantry to generate x-rays from a first focal spot at a first z-location, and from a second focal spot at a second z-location, a pixelated detector positioned on the rotatable gantry to receive the x-rays from the first z-location and from the second z-location, and a computer.
- CT computed tomography
- the computer is programmed to acquire a first dataset in a fan geometry at a first z-location, acquire a second dataset in the fan geometry at a second z-location, and reconstruct an image based on the first dataset and the second dataset, wherein the reconstruction is performed without combining the first dataset and the second dataset into one dataset with a single geometry from which the image reconstruction is performed.
- a method of computed tomography (CT) imaging includes acquiring a first dataset in a fan geometry at a first z-location of an x-ray tube anode, acquiring a second dataset in the fan geometry at a second z-location of the x-ray tube anode, and reconstructing an image based on the first dataset and the second dataset.
- the reconstruction is performed without combining the first dataset and the second dataset into one dataset with a single geometry from which the image reconstruction is performed.
- FIG. 1 is a perspective view of a CT imaging system.
- FIG. 2 is a planar cross-section of the system illustrated in FIG. 1 .
- FIG. 3 is an example of an imaging chain.
- FIG. 4 is an example of a detector module.
- FIG. 5 illustrates an exemplary x-ray tube, used in exemplary implementations of the disclosure.
- FIG. 6A is an illustration of all rays plotted from focal spots f 1 and f 2 to one detector pilar.
- FIG. 6B is an expanded or zoomed view of a portion of FIG. 6A showing a cross-over curve between the sets of rays.
- FIG. 7 is an illustration of geometric relationships between an anode and detector assembly, as referenced herein.
- FIG. 8 is an overview of the disclosed reconstruction method of z-flying focal spot scans.
- CT computed tomography
- a computed tomography (CT) system 100 includes a gantry 102 having an opening 104 .
- a patient table 106 is positioned on a support structure 108 , and patient table 106 is axially controllable such that a patient (not shown) positioned on table 106 may be positioned within opening 104 .
- a computer system 110 provides operator instructions and other control instructions to a control system 112 .
- Computer system 110 also may include image reconstruction programs, or an image reconstructor may be provided as a separate processing unit.
- Control system 112 provides control commands for operating gantry 102 , an x-ray tube 114 , and a gantry motor controller 116 , as examples.
- Gantry 102 includes a cover or enclosure 118 , which provides for aesthetic improvement, safety, etc.
- Gantry 102 includes a rotatable base 120 , on which is mounted x-ray tube 114 , a heat exchanger 122 , a data acquisition system (DAS) 124 , an inverter 126 , a high-voltage generator 128 for generating high voltage in x-ray tube 114 , and a detector assembly 130 , as examples.
- System 100 is operated with commands entered by a user into computer 110 .
- Gantry 102 may include gantry controls 132 located thereon, for convenient user operation of some of the commands for system 100 .
- Detector assembly 130 includes a plurality of detector modules (not shown), which include an anti-scatter grid (ASG), scintillators, photodiodes, and the like, which detect x-rays and convert the x-rays to electrical signals, from which imaging data is generated.
- Gantry 102 includes a pre-patient collimator 134 that is positioned to define or shape an x-ray beam 136 emitted from x-ray tube 114 .
- a shape filter may be positioned for instance between x-ray tube 114 and pre-patient collimator 134 .
- rotatable base 120 is rotating about the patient, and table 106 is enabled to move the patient axially into the opening 104 .
- x-ray tube 114 is energized and x-ray beam 136 is generated from a focal spot within x-ray tube 114 .
- the detectors receive x-rays, some of which have passed through the patient, yielding analog electrical signals are digitized and passed to DAS 124 , and then to computer 110 where the data is further processed to generate an image.
- the imaging data are stored on computer system 100 and images may be viewed.
- An X-Y-Z triad 138 corresponding to a local reference frame for components that rotate on rotatable base 120 , defines a local directional coordinate system in a gantry circumferential direction X, a gantry radial direction Y, and gantry axial direction Z. Accordingly, and referring to triad 138 , the patient passes parallel to the Z-axis, the x-rays pass along the Y axis, and the rotational components (such as detector assembly 130 ) rotate in a circumferential direction and in the X direction, and about an isocenter 140 (which is a center point about which rotatable base rotates, and is an approximate position of the patient for imaging purposes).
- a focal spot 142 is illustrated within x-ray tube 114 , which corresponds to a spot from which x-ray beam 136 emits.
- FIG. 3 illustrates an exemplary image chain 300 , consistent with the operation described with respect to FIGS. 1 and 2 .
- X-ray generation 302 occurs, using x-ray tube 114 and passing x-rays through pre-patient collimator 134 , during which patient table 106 passes 304 through opening 104 of gantry 102 .
- table 106 may have a patient thereon, and in another example a phantom may be used for calibration purposes.
- X-ray detection 306 occurs when x-rays having been emitted from x-ray tube 114 pass to detector assembly 130 .
- An anti-scatter grid (ASG) prevents x-ray scatter (emitting for example from the patient as secondary x-rays and in a direction that is oblique to x-ray beam 136 ), by generally filtering x-rays that emit from x-ray tube 114 .
- DAS 124 processes signals received from detector assembly 130 .
- Image generation 308 occurs after the digitized signals are passed from a rotating side of gantry 102 (on rotatable base 120 ) to a stationary side, via for instance a slip-ring.
- Image generation 308 occurs in computer system 110 , or in a separate processing module that is in communication with computer system 110 .
- the data is pre-processed, and image views or projections are used to reconstruct images using known techniques such as a filtered backprojection (FBP).
- FBP filtered backprojection
- Image post-processing also occurs, after which the images may be displayed 310 , or otherwise made available for display elsewhere (such as in a remote computing device).
- FIG. 4 illustrates an exemplary detector module 400 that is one of a plurality of modules for use in detector assembly 130 .
- a diode-scintillator array 402 includes a pixelated scintillator 406 positioned on a pixelated photodiode array 404 .
- the photodiode array 404 may be either a front-lit or a back-lit type of photodiode.
- the diode-scintillator array 402 is positioned on an A/D board 408 that includes electronics components for signal processing, wherein analog electrical signals from diode-scintillator array 402 are digitized and then passed to DAS 124 .
- Diode-scintillator array 402 is positioned on a base substrate 410 that may include a ceramic or other solid base material.
- a heat sink 412 is in thermal contact with A/D board 408 for providing enhanced cooling to the electronics located on A/D board 408 .
- Detector module 400 also includes an anti-scatter grid (ASG) 414 that, in one embodiment, includes a plurality of plates (a few exemplary plates are shown) that are approximately parallel with a Y-Z plane of detector assembly 130 .
- ASG 414 in the illustrated example, includes mount holes 416 which may be used for mounting module 400 to detector assembly 130 and aligning it therewith.
- FIG. 4 illustrates a triad 418 that illustrates corresponding X-Y-Z coordinates, as illustrated also in FIG. 1 .
- X-ray tube 500 includes high energy electrons 502 that are emitted from a cathode 504 and caused to bend by positioning and controlling an electric field toward a focal spot.
- electronics hit a target at a single location, such as f 0 506
- two focal spots f 1 or f 2 508 and 510 , respectively
- anode or anode surface 514 two focal spots f 1 or f 2 ( 508 and 510 , respectively) are directed toward on an anode, as illustrated in FIG. 5 as anode or anode surface 514 .
- f 1 508 and f 2 510 are located away from the virtual focal spot f 0 by ⁇ R in a radial or y-direction, and ⁇ Z in a z-direction.
- x-ray tube 500 includes external magnetic or other deflection devices (not shown) that serve to deflect high energy electrons 502 .
- the trajectory of high energy electrons 502 may be impacted or otherwise affected by including an electrostatic bias device (not shown) proximate cathode 504 .
- High energy electrons 502 emit from cathode 504 and are caused to deflect and emit toward a focal spot.
- bias electrodes may be positioned proximate cathode 504 and to either side thereof (i.e., in and out of the page in FIG. 5 ), which can cause deflection in of high energy electrons 502 in an x-direction.
- deflection of the focal spot may be caused to occur via operation of deflection devices, such that deflection occurs along the Z-axis as well.
- a ‘flying focal spot’ such also may be referred to as “Z wobble”, as well and as another example.
- deflection occurs along the illustrated Z-axis, but causing a deflection along the Y-axis as well (also referred to as the radial or “R” dimension).
- deflection+/ ⁇ R causes high energy electrons 502 to impinge at different radial locations upon anode 504 .
- focal spots f 1 508 and f 2 510 are caused to emit from not only different Z locations on anode 504 , but also from different Y locations as well.
- focal spots 508 and 510 emit, correspondingly, from locations that differ in both Z and Y.
- rays emitting respectively from focal spots f 1 508 and f 2 510 pass to individual detectors and, because of the offset of focal spots f 1 and f 2 in both Y and Z directions, and that rays are drawn to the individual detectors on each (on the right of the figure) a simple geometric layout shows a resulting curve that defines their ‘cross-over’ pattern, illustrated as item 512 .
- FIG. 6A all rays are plotted from focal spots f 1 508 and f 2 510 to one detector pilar, i.e. one channel and all rows, which is evident on the right most side of FIG. 6A .
- FIG. 6B An expanded or zoomed view of a portion of FIG. 6A is shown in FIG. 6B which illustrates the crossover pattern as well and as indicated in the unlabeled curve passing therethrough, which corresponds to item 512 from FIG. 6A .
- the focal spot-to-detector distance, S F2D , and the iso-to-detector distance, S I2D are 950.42 mm and 392.42 mm respectively, in this example.
- the ⁇ i are usually equally spaced, as well as the ⁇ j , and the detector arc has f 0 as its circular center.
- the fan angle distributions for focal spot f 1 , ⁇ j (1) , and focal spot f 2 , ⁇ j (2) are not equally spaced since neither f 1 nor f 2 is the circular center of the detector arc.
- the interleaved rays are not equally spaced in a z-direction.
- the interleaved rays are close to equally spaced around the z-axis, and cross at the illustrated and marked curve 512 , and the detector plane.
- control the focal spot position is controlled by grid a potential such that:
- ⁇ R ⁇ Z ⁇ arctan( ⁇ ); Eqn. 2.
- the disclosed native focal spot-based CB reconstruction includes an analytical type reconstruction algorithm, specifically FDK (Feldman-Davis-Kress) type algorithms.
- FDK Fedman-Davis-Kress
- CCB circular cone beam
- FIG. 7 illustrates the relationship of this mapping for focal spot f 1 .
- the adjustment angle ⁇ is determined by using the known trigonometric relationship, “law of sines”,
- target parallel angles and channels of re-binning two data sets should be the same (t, ⁇ ), so that the interpolation over the complete parallel data can be performed readily and accurately in the back-projection step.
- the disclosed and complete FDK type zFFS reconstruction algorithm for CCB data is disclosed herein in Algorithm 1, which is relevant to the disclosed algorithm and is listed independently in Algorithm 2.
- the data sorting step 1(c) in Algorithm 2 i.e. row order associated with the two focal spots, may vary for voxels from different regions. For voxels far from the source and at the given projection angle, an interleave order as used in conventional zFFS data will be used in a merge strategy. However, for voxels close to the source, such as within marked curve 512 of FIG. 2 , imaging data is processed according to the disclosure.
- q 1 (t, ⁇ 1 , ⁇ ) and q 2 (t, ⁇ 2 , ⁇ ) are the parallel filtered projection data for two focal spots.
- Pseud-code of the weighted back-projection for every voxel x is listed below:
- FIG. 7 includes an illustration of the geometric layout as described above, and the corresponding detector assembly 130 and as illustrated in FIG. 2 . Its geometric illustration of the parameters corresponds with the above parameters.
- the corresponding geometry is described in more detail within Computed Tomography, Principles, Design, Artifacts, and Recent Advances, Second Edition, Jiang Hsieh, Wiley Interscience, Copyright 2009, on page 96 and as illustrated and described with respect to FIG. 3.37 therein, which is incorporated by reference.
- FIG. 8 is an overview of the disclosed method of z-flying focal spot reconstruction and according to the algorithms 1 and 2 disclosed above.
- method or process 800 begins at step 802 , and at step 804 two raw datasets for two focal spots are obtained or acquired in fan geometry.
- the acquired data is helical data and in another example the acquired data is axial data.
- the acquired fan geometry data is re-binned to parallel geometry for each row.
- the re-binned projection data is filtered by, in one example, ram filtering for each row.
- a cosine weighting is applied for each row at step 810 .
- a loop over each voxel x begins, for the projection angle theta over 0 to 2 ⁇ .
- interpolation is performed in the channel direction for each data set to produce two vectors in the z-direction.
- the two vectors are merged and sorted.
- z-interpolation is computed for the given pixel, and at step 820 the interpolated data is back-projected with weight, and the value is accumulated to the image volume.
- the data sets are assessed, and if all x and theta have not been processed 824 , then control returns to step 812 . If so 826 , then a final image is output at step 828 and the process ends at step 830 .
- a computed tomography (CT) system includes a rotatable gantry having an opening to receive an object to be scanned, an x-ray tube having an anode, the x-ray tube positioned on the rotatable gantry to generate x-rays from a first focal spot at a first z-location, and from a second focal spot at a second z-location, a pixelated detector positioned on the rotatable gantry to receive the x-rays from the first z-location and from the second z-location, and a computer.
- CT computed tomography
- the computer is programmed to acquire a first dataset in a fan geometry at a first z-location, acquire a second dataset in the fan geometry at a second z-location, and reconstruct an image based on the first dataset and the second dataset, wherein the reconstruction is performed without combining the first dataset and the second dataset into one dataset with a single geometry from which the image reconstruction is performed.
- a method of computed tomography (CT) imaging includes acquiring a first dataset in a fan geometry at a first z-location of an x-ray tube anode, acquiring a second dataset in the fan geometry at a second z-location of the x-ray tube anode, and reconstructing an image based on the first dataset and the second dataset.
- the reconstruction is performed without combining the first dataset and the second dataset into one dataset with a single geometry from which the image reconstruction is performed.
- the disclosed algorithm uses the native two focal spots to perform the image reconstruction instead of combining the two sets of data. By doing so the native geometry of each of the rays is used, thus the object to be reconstructed can include voxels beyond the limited FOV.
- the algorithm has been validated with offset zFFS scan of a physical head phantom.
- the image reconstructed by Algorithm 1 does not show artifacts due to data misplacement for large FOV while the data combining method does, illustrating that the disclosed algorithm has overcome the FOV limitation for zFFS scans.
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Abstract
Description
f 1:(−R 1 , Z),
f 2:(−R 2 ,− Z),
where:
R 1 =R+ R, and
R 2 =R− R.
ΔR=ΔZ·arctan(ϕ); Eqn. 2.
Θ=β+γ, Eqn. 3,
for an ideal focal spot f0 does not hold for zFFS, since the focal spots in zFFS scanning are not the center of the detector arc. Thus, to perform re-binning the rays are mapped from a deflected source, SA in
β=β0+ϵ, and γ=γ0−ϵ, for focal spot f 1, Eqn. 4a,
β=β0−ϵ, and γ=γ0+ϵ, for focal spot f 2, Eqn. 4b.
-
- For views θK∈[0,π), k=1, 2, . . . , K
1) For half turns m=0, 1
- For views θK∈[0,π), k=1, 2, . . . , K
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| Flying Focal Spot (FFS) in Cone-Beam CT; Marc Kachelriell, Member IEEE, Michael Knaup, Christian Perael, and Willi A. Kalender; IEEE Transactions on Nuclear Science, vol. 53, No. 3, Jun. 2006; pp. 1238-1247. |
| Image Reconstruction and Image Quality Evaluation for a 64-Slice CT Scanner with Z-Flying Focal Spot; T.G. Flohr, et al.; Med. Phys. 32 (8), Aug. 2005; pp. 2536-2547. |
| Impact of the Z-Flying Focal Spot on Resolution and Artifact Behavior for a 64-Slice Spiral CT Scanner; Yiannis Kyriakou et al.; Eur Radiol (2006) 16: Dec. 6, 1215; DOI 10.1007/s0 0330-005-0118-9; Computer Tomography. |
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